Abstract
Tissue growth on bioscaffolds can be controlled using substrate geometry such as substrate curvature. In this study, we present a mathematical model and numerical simulation method for tissue growth on a bioscaffold to investigate the effect of local curvature on tissue growth. The mathematical model is based on the Allen-Cahn (AC) equation, which has been extensively used to model many problems involving motion by mean curvature. By solving the AC equation using the explicit Euler method, the proposed method is simple and fast. Numerical simulations on various geometries are presented to demonstrate the applicability of the proposed framework on tissue growth on a bioscaffold.
Original language | English |
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Article number | 4058 |
Journal | Applied Sciences (Switzerland) |
Volume | 9 |
Issue number | 19 |
DOIs | |
State | Published - 1 Oct 2019 |
Keywords
- Allen-Cahn equation
- Bioscaffold
- Tissue growth
- Triply periodic minimal surface